On periodic in the plane solutions of second order linear hyperbolic systems

Tariel Kiguradze

Displaying similar documents to “On periodic in the plane solutions of second order linear hyperbolic systems”

On periodic solutions of systems of linear functional-differential equations

Ivan Kiguradze, Bedřich Půža (1997)

Archivum Mathematicum

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This paper deals with the system of functional-differential equations $\frac{d x (t)}{d t} = p (x) (t) + q (t),$ where $p : C_{ω} (R^{n}) \to L_{ω} (R^{n})$ is a linear bounded operator, $q \in L_{ω} (R^{n})$ , $ω > 0$ and $C_{ω} (R^{n})$ and $L_{ω} (R^{n})$ are spaces of $n$ -dimensional $ω$ -periodic vector functions with continuous and integrable on $[0, ω]$ components, respectively. Conditions which guarantee the existence of a unique $ω$ -periodic solution and continuous dependence of that solution on the right hand side of the system considered are established.

Properties of solutions of some linear class of integrodifferential equations of Volterra type.

Morchało, Jarosław (1992)

Publications de l'Institut Mathématique. Nouvelle Série

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Periodic solutions for a neutral functional differential equation with multiple variable lags

Cheng-Jun Guo, Gen Qiang Wang, Sui-Sun Cheng (2006)

Archivum Mathematicum

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By means of the Krasnoselskii fixed piont theorem, periodic solutions are found for a neutral type delay differential system of the form $x^{'} (t) + c x^{'} (t - τ) = A (t, x (t)) x (t) + f (t, x (t - r_{1} (t)), \dots, x (t - r_{k} (t))) .$

On periodic-type solutions of systems of linear ordinary differential equations.

Kiguradze, I. (2004)

Abstract and Applied Analysis

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